Atkin-Lehner |
2- 3- 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
69030bm |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
13083946200 = 23 · 38 · 52 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-566393,164209857] |
[a1,a2,a3,a4,a6] |
Generators |
[437:-300:1] |
Generators of the group modulo torsion |
j |
27564435120476971081/17947800 |
j-invariant |
L |
7.8267187576925 |
L(r)(E,1)/r! |
Ω |
0.77719353749877 |
Real period |
R |
0.83920739381413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23010e2 |
Quadratic twists by: -3 |